Manipulations with symbolic functions

asked 2014-09-14 09:03:39 -0600

Stanislav gravatar image

updated 2014-09-15 07:35:15 -0600

Hello! I'm trying to migrate to Sage from Maple and facing some difficulties with symbolic manipulations, which is the most important part of my work. For example, I want to define the following equality:

N(t + delta * t, A) = (   N(t, A + sigma * sqrt(delta * t)) * (1 - p(t, A))
                        + N(t, A - sigma * sqrt(delta * t)) * p(t, A)       )

where the function N(t,A) is yet unknown, and I can't find a way to to do correctly. After that I want to manipulate this equality, for example by substituting Taylor series of N instead of it. In Maple this whole thing is very straightforward, but I really can't find a way to do the same in Sage. Any help will be much appreciated.

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